Charging Li anything can be tricky as the there is no one single standard chemistry that you sort of have with VRLA or NiMH batteries. Every manufacturer seems to have their own mix of cathode materials, although the anodes are usually relatively the same. If you want to know the absolute best way to charge a battery, contact the manufacturer. The rules that apply to batteries from manufacturer A, may not work very well for manufacturer B, even if they are both lithium polymer.
Charging Li based cells is usually a two step process. The first 80% or so of the charge is done with a constant current mode. After that point the battery is topped off with either a constant voltage or a mixture of varying current or voltage. The difficulty of charging Li based chemistries is overcharging. VRLA and NiMH both have the oxygen cycle mechanism so overcharging isn't a big deal. However, for Li batteries the oxidation potential of the cathode usually isn't that much greater (sometimes ~100mV) so an overcharge will cause the cathode to oxidize, which is an exothermic reaction, and create a thermal runaway event (i.e. catch on fire). Its not possible to have an oxygen or some "fail safe" chemical cycle for Li batteries so the only defense is elaborate electronics. This is why for any serious power application, each cell is charged or individually monitored. If one cell starts to go bad in a string of cells and the charging electronics can't detect it, then there's going to be a problem. One last thing, NEVER charge a battery when its very cold. By cold, I mean typically less than 5'C unless the manufacturer says its ok. Otherwise, dendrite formation can occur and cause an internal short creating a "thermal runaway event".
Discharging doesn't carry as many dangers as charging does assuming the cells aren't discharged to quickly. You can easily kill a cell or greatly shorten its life by discharging it to far. For Li cells, if you keep the battery in a window of 90-30%DOD you will be ok. Some can go to 100%DOD for thousands of cycle and have little degradation, but many can't.
Its best to store Li batteries at about 50% DOD in as cool as a place as possible. Funny thing about Li based chemistries is that they kill themselves over time, even if not being used. Storing a battery at room temperature or lower will increase its shelf life and maintain its SOC longer.